Question

What is the equation of the line in the slope that intercepts form that given f(-3)=5and f(3) = 3,

Answer 1

Given data:

The first coordinate is (-3, 5).

The second coordinate is (3, 3).

The equation of the line passing through the given points is,

`\begin{gathered} y-5=(3-5)/(3-(-3))(x-(-3)) \\ y-5=(-2)/(6)(x+3) \\ y-5=-(1)/(3)(x+3) \\ y=-(1)/(3)x+4 \end{gathered}`

Thus, the equation of the line in slope-intercept form is y= -1/3 x+4.